Greener Journal of
Science, Engineering and Technological Research Vol. 9(1), pp. 35, 2019 ISSN: 22767835 Copyright ©2019, the
copyright of this article is retained by the author(s) DOI Link: http://doi.org/10.15580/GJSETR.2019.1.040919066
http://gjournals.org/GJSETR 

Some even expressed as 1+1 or 12, 14,
1c, 1+2 can also be expressed as 13
Zhou Mi
^{1*}, Honwei Shi ^{2}, Delong Zhang ^{3}, Xingyi Jiang ^{3}, Songting He ^{3}
^{1} Suqian Economy and Trade Vocational School
^{2} Suqian College, Industrial technology research institute of
Suqian college Jiangsu,
Email: 19744090@ qq.com
^{3} Suqian College
^{ }
ABSTRACT 



According to known conclusions, even
numbers can be expressed as 1+2, 1+5, 3+2, 1+c. So this paper derives
conclusions partial even expressed as 1+1 or 12, 14, 1c, 1+2 can also be expressed
as 13. 


ARTICLE INFO 



Article
No.: 040919066 Type: Review Article DOI: 10.15580/GJSETR.2019.1.040919066 
Submitted: 09/04/2019 Accepted:
15/04/2019 Published: 19/04/2019 
*Corresponding
Author Zhou Mi Email: zhoumi19920626@
163.com 
Keywords:
Classification code: 0156 









INTRODUCTION
Goldbach’s
conjecture is that an even number can be represented as a prime number plus a
prime number, called “1+1”, According to the theory of Chinese mathematician
ChenJing run, a large even number can be expressed as one prime number plus no
more than two primes product, It is called “1+ 2”;There is also Wang Yuan’s
theory: 1. Large even Numbers can be expressed as the product of two prime
Numbers plus three primes product It is called: 3+2; 2.A large even number can
be expressed as a prime number plus no more than four prime’s product, it is
called 1 plus 4;There is also pan cheng dong’s theory that large even Numbers
can be represented as a prime plus 5 prime’s product, called “1+5”.
Based on these known conclusions, this paper
concludes that some even Numbers that can be expressed as 1+1 can also be
expressed as 12, 14, 1c, and some even Numbers that can be expressed as 1+2
can also be expressed as 13
Theorem 1.1
Chinese
mathematician ChenJing run got : a large even number can be expressed as one
prime number plus no more than two primes product, It is called “1+ 2”
Lemma 1.2
Partial
even numbers can expressed as 1+1 can also be expressed as 12.
Certification
All
with p subscripts indicate prime numbers
It
is known that 1+2 can indicate all large even numbers proposed by Chen Jingrun,
2N1p1=p2p3
（2N1=p1+p2p3 1+2）
There
is an even number as the difference between two prime numbers,
2N2+p4=p5
( 2N2=p5p4 11)
Because
of 2N1 representing all large even numbers, N2 included in N1 exist, when they
are the same. So
（2N1+p4）（2N1p1）= p4+p1=p5p2p3
P4+p1
is 1+1, P5p2p3 is 12, they are equal,
So
there are partial even numbers that can be expressed as 1+1 can also be
expressed as 12.
Theorem 2.1
There
is also Wang Yuan’s theory: 1. Large even Numbers can be expressed as the
product of two prime Numbers plus three primes product It is called: 3+2;
Lemma 2.2
The
presence of an even number that is expressed as 1+2 can also be expressed as
13.
Certification
It
is known that 3+2 can represent all large even numbers, proposed by Wang Yuan.
2N1p1p2=p3p4p5
(2N1=p1p2+p3p4p5 2+3)
There
is an even number as the difference between two prime numbers
2N2+p6=p7
（2N2=p7－p6 1－1）
Because
of 2N1 representing all large even numbers, N2 included in N1 exist, when they
are the same. So 2N1+p6）（2N1p1p2）= p6+p1p2 = p7p3p4p5
P6+p1p2
is 1+2, P7p3p4p5 is 13
So
there is the existence that 1+2 can also be expressed as 13.
Theorem 3.1
Wang
Yuan’s conclusion: A large even number can be expressed as a prime number plus
no more than four prime’s product, it is called 1 plus 4.
Lemma 3.2
The
presence of a partial even number that is expressed as 1+1 can also be expressed
as 14.
Certification
Wang
Yuan also proved 1+4, the same reason: 1+1 can also be expressed as 14.
Theorem 4.1
There
is also pan cheng dong’s theory that large even Numbers can be represented as a
prime plus 5 prime’s product, called “1+5”.
Lemma 4.2
The
presence of a partial even number that is expressed as 1+1 can also be
expressed as 15.
Certification
It
is known that 3+2 can represent all large even numbers, proposed by Pan
Chengdong.
2N1p1=p2p3p4p5p6
（2N1=p2p3p4p5p6+p1 1+5）
Exist
11 2N2+p7=p8 (2N2=p8p7 11)
Because
of 2N1 representing all large even numbers, N2 included in N1 exist, when they
are the same. So （2N1+p7）（2N1p1）=p7+p1=p8p2p3p4p5p6
P1+p7
is 1+1, P8p2p3p4p5p6 is 15
So
there is the existence that 1+1 can also be expressed as 15.
Theorem 5.1
Large
even numbers can be expressed as 1+c，c is a big number.
Lemma 5.2
The
presence of a partial even number that is expressed as 1+1 can also be
expressed as 1c.
Certification
Goldbach
guessed that “a+b” was completed: 1+c, c is a large natural number. According
to the above method, there is the existence that1+1 can also be expressed as
1c.
ACKNOWLEDGEMENT
I
am grateful to the researcher Ge Liming of the Institute of Mathematics and
Systems Science of the Chinese Academy of Sciences for listening to my paper. I
am grateful to have completed this paper with his encouragement!
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